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BEGIN:VEVENT
DTSTAMP:20211029T130425Z
DTSTART:20211102T130000Z
DTEND:20211102T140000Z
SUMMARY:Manchester Algebra Seminar - Ben Martin
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}roh-kv6ch24
h-7w4p4o
DESCRIPTION:Speaker: Ben Martin - Aberdeen\n\nTitle: Subgroups of reduc
tive groups containing a regular unipotent element\n\n\nAbstract: Let G
be a linear algebraic group over an algebraically closed field k. A maj
or strand of algebraic group theory is to study the subgroup structure o
f G: can we describe the subgroups H of G (up to conjugacy) and understa
nd how they fit together? The problem becomes more tractable if we put
extra hypotheses on H. For instance\, we have a good understanding of t
he set of connected reductive subgroups H when G is simple.\n\nSuppose G
is connected and reductive. A subgroup H of G is said to be G-irreduci
ble if it is not contained in any proper parabolic subgroup of G. Recen
tly we proved the following result: if H is a connected reductive subgro
up of G that contains a regular unipotent element of G then G is G-irred
ucible. A similar result was proved by Testerman and Zalesski and later
extended by Malle and Testerman. Our proof is short and carries over n
icely to the case when H or G is nonconnected. We have also proved anal
ogous results for Lie algebras and finite groups of Lie type. I will di
scuss these results and sketch the ideas behind the proofs.\n\nThis is j
oint work with Michael Bate and Gerhard Rohrle.\n\n\n\nPlace: Frank Adam
s (and to be streamed online*)\n\n*subject to equipment and connection\n
\nTea and biscuits 12:45 in the foyer
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams\, Alan Turing Building\, Manchester
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